Sentence examples for elementary examples of from inspiring English sources

But it may not seem crazy when one looks at elementary examples of the cognitive value of logic, such as when we extend our knowledge by deducing logical consequences of what we already know.

From the point of view of category theory, the right and left comma-categories are the most elementary examples of gluing.

Elementary examples of HI-potentials are: (P equiv 0) on any interval (0, R); (Pequiv 1) on ((0, z_0)), where (z_{0}=2.4048 ldots ) is the first root of the Bessel function (J_0); More generally, (P (r)=r^{-a}) with (0le a<2) on ((0, z_a)), where (z_{a}) is the first root of the largest solution of the equation (y"+frac{1}{r}y'+r^{-a}y=0).

Here are two elementary examples of symplectic integrators.

This analysis is then illustrated on the elementary example of a coupled mechanical and thermodynamic system.

This is the most elementary example of chaos, but it is easy to construct other formulas for generating number sequences that can be studied rapidly with the aid of the smallest programmable computer.

Starting from the very elementary example of histograms we present a general notion of finite dimensional model for statistical estimation and we explain what type of risk bounds can be expected from the use of one such model.

The most elementary example of a cooperative network is the relay channel, consisting of a source, a relay, and a destination [3, 5].

Moreover, the group of even integers under addition is a subgroup of the group of all integers; this is an elementary example of the subgroup concept.

Further, we have used a number of elementary examples to demonstrate the usefulness of this approach to risk models where hazard rates, default distributions have an important role.

We have chosen an elementary example to illustrate the capabilities of the optimal control formalism: broadband, constant phase excitation which tolerates miscalibration of RF power and variations in RF homogeneity relevant for standard high-resolution probes.